Respuesta :
Answer:
The simplified form of the provided expression is [tex]54a^4x + 24a^2bcx^{3} + 36a^{3}bx^{2}[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]6a^2x(9a^2 + 4bcx^2 + 6abx)[/tex]
Distributive property: [tex]a(b+c)=ab+ac[/tex]
Now use the above property.
[tex]54a^{2+2}x + 24a^2bcx^{2+1} + 36a^{1+2}bx^{1+1}[/tex]
[tex]54a^4x + 24a^2bcx^{3} + 36a^{3}bx^{2}[/tex]
Hence, the simplified form of the provided expression is [tex]54a^4x + 24a^2bcx^{3} + 36a^{3}bx^{2}[/tex].